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单词 Stokes’s law
释义
Stokes’s law

Chemical Engineering
  • An equation based on a small particle suspended in a fluid to accelerate from stationary to achieve its terminal velocity. The equation suggests that the terminal velocity is reached after an infinite period of time but is usefully expressed as:

    vt = g(ρp-ρ)dp218μ

    where g is gravitational acceleration, ρpρ is the difference in density between the particle and fluid, dp is the diameter of the particle and μ is the viscosity of the fluid. The particle, which is usually solid although it also applies to small bubbles and droplets, has a maximum size of particle governed by a correlation of Reynolds number based on the particle dimension and drag coefficient as:

    Rep = 24Cd0.4

    as well as a minimum size for the fluid viscosity to operate (Brownian motion). The external forces on the particles may be gravity, centrifugal, electrostatic, and magnetic. Stokes’s law is named after Sir George Stokes (1819–1903).


Geology and Earth Sciences
  • A law describing the rate at which suspended particles settle, formulated in 1845 by the physicist Sir George Gabriel Stokes (1819–1903). The settling velocity (V) in cm/s is calculated by V = CD2, where C is a constant related to the density and viscosity of the fluid and the density of the suspension and D is the diameter of the particles (assumed to be spheres) in cm.


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